Two Agents, One Prompt, and Your Weight

Fuente: arXiv
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Auteurs principaux: Mossel, Elchanan, Schreiber, Amnon
Format: Preprint
Publié: 2025
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author Mossel, Elchanan
Schreiber, Amnon
author_facet Mossel, Elchanan
Schreiber, Amnon
contents We investigate a quantitative variant of the classic Two Doors logic puzzle, in which the answer space is no longer binary, for example when the goal is to recover a numerical fact (such as one's true weight) rather than choose between two doors. The puzzle retains the original structure: one agent always tells the truth, the other always lies. Our central contribution is to identify a class of self-referential prompts that successfully extract the correct quantitative answer under minimal assumptions. We also explore how well does \texttt{ChatGPT} does in reasoning for this problem which is just a little bit out of distribution.
format Preprint
id arxiv_https___arxiv_org_abs_2510_08232
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two Agents, One Prompt, and Your Weight
Mossel, Elchanan
Schreiber, Amnon
Logic
Probability
We investigate a quantitative variant of the classic Two Doors logic puzzle, in which the answer space is no longer binary, for example when the goal is to recover a numerical fact (such as one's true weight) rather than choose between two doors. The puzzle retains the original structure: one agent always tells the truth, the other always lies. Our central contribution is to identify a class of self-referential prompts that successfully extract the correct quantitative answer under minimal assumptions. We also explore how well does \texttt{ChatGPT} does in reasoning for this problem which is just a little bit out of distribution.
title Two Agents, One Prompt, and Your Weight
topic Logic
Probability
url https://arxiv.org/abs/2510.08232